SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES-DAY 2

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours

x + 2 = x + 4

• all real numbers
• no solution
• x = 0

Tags

CCSS.8.EE.C.7A

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

-5k + 10 = -2k - 14

• k = 8

• k = -8

• k = 2

• k = -2

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2